Algebra
WP-3 WORD PROBLEMS INVOLVING CONSECUTIVE INTEGERS
Warm-Up
2)
1)
Define the word “consecutive”.
Identify which of the following sets of numbers are consecutive integers?
a)
8, 9, 10, 11, …..
b)
-5, -4, -3, -2, -1, …..
c)
14, 17, 25, 31, .....
d)
23, 25, 27, 29, …..
Consecutive integers are
_____________________________________________
________________________________________________________________
EXAMPLES
In general, consecutive integers are written _______________________________
Example 1 Two consecutive integers sum
to 135. Find the integers.
MCD/LPG/MPH 11/12
Example 2 Find three consecutive
integers that sum to -132.
1
Algebra
CONSECUTIVE ODD INTEGERS
CONSECUTIVE EVEN INTEGERS
In both cases, the pattern is established by _______________________________
Example 3
The measures of the angles of a triangle are consecutive even integers.
Find the measures of the angles.
Example 4
Find three consecutive odd integers that sum to -423.
MCD/LPG/MPH 11/12
2
Algebra
WP-3 WORD PROBLEMS INVOLVING CONSECUTIVE INTEGERS
Warm-Up
A)
The sum of five consecutive odd integers is 195. What is the greatest of
these integers?
33
B)
36
C)
39
D)
43
E)
71
Not all consecutive integer problems are as simple as adding them up to find the sum.
The problems can involve more reading, more interpretation, and more involved equation
writing.
Example 1
Find three consecutive integers such that the sum of the second and third
is 147 more than the first.
MCD/LPG/MPH 11/12
3
Algebra
Example 2
Find three consecutive odd integers such that twice the first is 13 more
than the third.
Example 3
Find three consecutive even integers such that third is 64 less than twice
the second.
MCD/LPG/MPH 11/12
4